Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

In Questa, $60\%$ of adults go to work by car.
(a)[3]

A random sample of $12$ adults is chosen from Questa. Find the probability that fewer than $10$ travel to work by car.

(b)[5]

A random sample of $150$ adults is taken from Questa. Use an approximation to find the probability that fewer than $81$ travel to work by car.

(c)[1]

Justify the use of the approximation in part (b).

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct complementary probability setup using binomial distribution

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